International Printer Machines (IPM) builds three computer printer models: Alpha, Beta, and Gamma. Information for these three products is as follows:                                          Alpha       Beta     Gamma   Total Selling price per unit         $250       $400     $1 500 Variable cost per unit        $80         $200      $800 Expected unit sales      12,000         6,000      2,000   20,000  (annual)  Sales mix                         50 %        40%       10%        100%  Total annual fixed costs are $5,000,000. Assume the sales mix remains the same at all levels of sales. Required: a) Calculate the weighted average unit contribution margin, assuming a constant sales mix.    b) How many units of each printer must be sold to break even?  c) i) Explain what is margin of safety. ii) Calculate in sales units the margin of safety for IPM, assuming projected sales are 25,000 units?

Cornerstones of Cost Management (Cornerstones Series)
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Author:Don R. Hansen, Maryanne M. Mowen
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Chapter16: Cost-volume-profit Analysis
Section: Chapter Questions
Problem 25E
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International Printer Machines (IPM) builds three computer printer models: Alpha, Beta, and Gamma. Information for these three products is as follows:

                                         Alpha       Beta     Gamma   Total
Selling price per unit         $250       $400     $1 500
Variable cost per unit        $80         $200      $800
Expected unit sales      12,000         6,000      2,000   20,000 

(annual) 

Sales mix                         50 %        40%       10%        100% 

Total annual fixed costs are $5,000,000. Assume the sales mix remains the same at all levels of sales.


Required:
a) Calculate the weighted average unit contribution margin, assuming a constant sales mix. 

 
b) How many units of each printer must be sold to break even? 


c)

i) Explain what is margin of safety.


ii) Calculate in sales units the margin of safety for IPM, assuming projected sales are
25,000 units?

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